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## (a) Two microwave frequencies are authorized for use in microwave ovens: 900 and 2560 MHz. Calculate the wavelength of each. (b) Which frequ

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(a) Two microwave frequencies are authorized for use in microwave ovens: 900 and 2560 MHz. Calculate the wavelength of each. (b) Which frequency would produce smaller hot spots in foods due to interference effects

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Physics
3 years
2021-08-14T17:22:53+00:00
2021-08-14T17:22:53+00:00 1 Answers
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## Answers ( )

Answer:

a) wavelength for the two frequencies are 0.33 m and 0.12 m

(b) 2560 MHz

Explanation:

Given:

microwave frequencies are

900 and 2560 MHz

f1= 900MHz we need to convert it to Go so the unit will be able to be consistent

f1= 900MHz= 900× 10^6Hz

f2= 2560 MHz= 2560×10^6Hz

a)Calculate the wavelength of each

But we can calculate our wavelength λ using the below formula

λ=c/f

c which is the speed of light has a constant value of =3*10^8m/s

Then for the first frequency

λ=c/f =(3×10^8)/900×10^6

=0.33 m

=33 cm.

For the second frequency

λ=c/f = (3×10^8)/2560×10^6

=0.12 m

=12 cm

(b) Which frequency would produce smaller hot spots in foods due to interference effects

(b) 2560 MHz( has the smallest wavelength)

This is because a small wavelength microwave gives a pattern with which is interference with waves and have a closer hotspot